Hi
I really need help for my homework.My professor gave me 2 questions about vector calculus, but I can not understand it.
thanks for your help
jimmy

1)Suppose the one dimensional field A=Kx.ax exist in a region. Illustrate the validity of Gaussian theorem by evaluating its volume and surface integrals inside and the rectangular parallelepiped bounded by surface: x=1,x=4,y=2,y=-2,z=0,z=3

2)Verify the stoke’s theorem, where C is the triangle with vertices: (1,0,0), (0,2,0), and (0,0,3), oriented by the order in which the points are given, and F(x,y,z)=(yz,-xz,xy)

Sep 18th 2013, 05:33 PM

HallsofIvy

Re: Need help Vector Calculus

I don't know what you mean by "Kx.ax". And what is a "one dimensional field"? Do you mean, for example, v(x, y, z)= <a, b, c>x, so that, for all x, y z, the vectors are in the same direction? Or is this a one dimensional problem so that vectors only exist along a single line?

Stoke's theorem says that that the integra around the boundary of a region, of "[LaTeX ERROR:
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" is equal to the integral of over the region itself. Have you calculated those integrals?
(Did you even try this one? It turns out to be pretty close to trivial!)

If you honestly have no idea how to even start these problems you need to talk to your professor about it. The last thing you want to do is make your professor think you know something you don't!